A leak proof cylinder of length 1 m, made of a metal which has very low coefficient of expansion is floating vertically in water at 0^° C such that…

A leak proof cylinder of length $\displaystyle 1$ m , made of a metal which has very low coefficient of expansion is floating vertically in water at $\displaystyle 0^{\circ} \mathrm{C}$ such that its height above the water surface is $\displaystyle 20$ cm. When the temperature of water is increased to $\displaystyle 4$°C, the height of the cylinder above the water surface becomes $\displaystyle 21$ cm. The density of water at $\displaystyle \mathrm{T}=4^{\circ} \mathrm{C}$, relative to the density at $\displaystyle \mathrm{T}=0^{\circ} \mathrm{C}$ is close to :